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Finding the Third Proportional to 313,868 and 471,504

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Solution

The third proportional to 313,868 and 471,504 is: 708,310.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,868 : 471,504 = 471,504 : x
  2. Step 2: Convert to fraction form
    313,868/471,504 = 471,504/x
  3. Step 3: Cross multiply
    313,868x = 471,504 × 471,504
  4. Step 4: Simplify right side
    313,868x = 222,316,022,016
  5. Step 5: Solve for x
    x = 222,316,022,016/313,868
  6. Step 6: Final answer
    x = 708,310.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.